On the Bogolyubov-Ruzsa lemma

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Abstract

Our main result is that if A is a finite subset of an abelian group with |A+A|≤ K|A|, then 2A-2A contains an O(logO(1) 2K)-dimensional coset progression M of size at least expO(logO(1) 2K))|A|. © 2012 by Mathematical Sciences Publishers.

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APA

Sanders, T. (2012). On the Bogolyubov-Ruzsa lemma. Analysis and PDE, 5(3), 627–655. https://doi.org/10.2140/apde.2012.5.627

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